Two chords AB and CD of a circle interse

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

Two chords AB and CD of a circle intersect each other at P internally. If AP = 3.5 cm, PC = 5 cm, and DP = 7 cm, then what is the measure of PB?

Options:

8 cm

12 cm

10 cm

10.5 cm

Correct Answer:

10 cm

Explanation:

As we know,

AP x PB = PC x PD

3.5 x PB = 5 x 7

PB = \(\frac{5\;×\;7}{3.5}\) = 10 cm.